Finding the Third Proportional to 23,616 and 34,400

Step by Step Solution

1. Step 1: Write the proportion equation
   23,616 : 34,400 = 34,400 : x
2. Step 2: Convert to fraction form
   23,616/34,400 = 34,400/x
3. Step 3: Cross multiply
   23,616x = 34,400 × 34,400
4. Step 4: Simplify right side
   23,616x = 1,183,360,000
5. Step 5: Solve for x
   x = 1,183,360,000/23,616
6. Step 6: Final answer
   x = 50,108.40